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If the volume of a Box is 1,463,000 cubic millimetres, what is the vol  [#permalink]

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Question Stats: 73% (01:12) correct 27% (01:18) wrong based on 321 sessions

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If the volume of a Box is 1,463,000 cubic millimetres, what is the volume of the box in cubic meters? (1 millimeter = 0.001 meter)

A) 14.63
B) 1.463
C) 0.1463
D) 0.01463
E) 0.001463

Originally posted by Avigano on 23 Jul 2016, 13:27.
Last edited by Bunuel on 05 Jun 2018, 07:46, edited 3 times in total.
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Re: If the volume of a Box is 1,463,000 cubic millimetres, what is the vol  [#permalink]

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Avigano wrote:
If the volume of a Box is 1,463,000 cubic millimetres, what is the volume of the box in cubic meters? (1 millimeter = 0.001 meter)

A) 14.63
B) 1.463
C) 0.1463
D) 0.01463
E) 0.001463

Since we are converting from cubic millimeters to cubic meters, we have to adjust the conversion.

(1 millimeter)^3 = (0.001 meter)^3

(1 millimeter)^3 = 0.000000001 meter^3

Thus, 1,463,000 cubic millimetres =

0.000000001 x 1,463,000 = 0.001463 cubic meters

Answer: E
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Re: If the volume of a Box is 1,463,000 cubic millimetres, what is the vol  [#permalink]

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The trick here maybe to just drop the ugly numbers and transform 1,463,000 cubic mm into 1,000,000 cubic mm just to understand the logic behind.

If volume of a cube equals $$10^6$$ cubic mm and the formula is side * side * side, we can infer that the side measures $$10^2$$ mm, or 100 mm.

And 100 mm = 0.1 mt. Therefore the side measures 0.1 mt.

In volume, this would be represented as 0.1 mt * 0.1 mt * 0.1 mt, which yields 0.001 cubic mt.

The answer choice should have 2 zeroes between the point and the first decimal different to zero.
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Re: If the volume of a Box is 1,463,000 cubic millimetres, what is the vol  [#permalink]

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Avigano wrote:
If the volume of a Box is 1,463,000 cubic millimetres, what is the volume of the box in cubic meters? (1 millimeter = 0,001 meter)

A) 14,63
B) 1,463
C) 0,1463
D) 0,01463
E) 0,001463

Check other Conversion problems to practice from our Special Questions Directory.
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Re: If the volume of a Box is 1,463,000 cubic millimetres, what is the vol  [#permalink]

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1
$$Well,\; square\; meters\; or\; cubic\; meters\; are\; simply\; m*m,$$

$$so\; our\; nice\; "a\; lot\; of\; millions"mm^{3},\; means\; x_{mm}\cdot y_{mm}\cdot z_{mm}\; and\; as\; each\; of\; these\; mm\; has\; a\; conversion\; of\; \frac{1}{1000},$$

$$the\; whole\; pack\; will\; need\; a\; reduction\; of\; 10^{-9}\; ,\; 9\; zeros,\; to\; become\; m^{3}.$$

$$Answer\; \mbox{E}.$$

$$Hope\; it\; helps.\;$$ $$:)$$

Den
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Joined: 27 May 2012
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Re: If the volume of a Box is 1,463,000 cubic millimetres, what is the vol  [#permalink]

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Avigano wrote:
If the volume of a Box is 1,463,000 cubic millimetres, what is the volume of the box in cubic meters? (1 millimeter = 0,001 meter)

A) 14,63
B) 1,463
C) 0,1463
D) 0,01463
E) 0,001463

Comma's should be converted to points for better understanding of the problem .
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If the volume of a Box is 1,463,000 cubic millimetres, what is the vol  [#permalink]

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minwoswoh wrote:
The trick here maybe to just drop the ugly numbers and transform 1,463,000 cubic mm into 1,000,000 cubic mm just to understand the logic behind.

If volume of a cube equals $$10^6$$ cubic mm and the formula is side * side * side, we can infer that the side measures $$10^2$$ mm, or 100 mm.

And 100 mm = 0.1 mt. Therefore the side measures 0.1 mt.

In volume, this would be represented as 0.1 mt * 0.1 mt * 0.1 mt, which yields 0.001 cubic mt.

The answer choice should have 2 zeroes between the point and the first decimal different to zero.

Hi pushpitkc

i dont get for some reason logic of sentence in red...

if 1 mm is 0.001 cubic mt. then

then shouldnt we divide 1463000 by 0,001 Senior PS Moderator V
Joined: 26 Feb 2016
Posts: 3386
Location: India
GPA: 3.12
Re: If the volume of a Box is 1,463,000 cubic millimetres, what is the vol  [#permalink]

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1
dave13 wrote:
minwoswoh wrote:
The trick here maybe to just drop the ugly numbers and transform 1,463,000 cubic mm into 1,000,000 cubic mm just to understand the logic behind.

If volume of a cube equals $$10^6$$ cubic mm and the formula is side * side * side, we can infer that the side measures $$10^2$$ mm, or 100 mm.

And 100 mm = 0.1 mt. Therefore the side measures 0.1 mt.

In volume, this would be represented as 0.1 mt * 0.1 mt * 0.1 mt, which yields 0.001 cubic mt.

The answer choice should have 2 zeroes between the point and the first decimal different to zero.

Hi pushpitkc

i dont get for some reason logic of sentence in red...

if 1 mm is 0.001 cubic mt. then

then shouldnt we divide 1463000 by 0,001 Hi dave13

1 mm is 0.001 mt
1 cubic mm will be $$(0.001)^3 = 0.000000001$$ cubic meter

Since we are given the volume of the box is 1,463,000 cubic millimeters, to convert into
cubic meter, we need to multiply it by 0.000000001.
1,463,000 cubic mm = 1,463,000*0.000000001 = 0.01463 cubic meter.

Hope this helps you!
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Joined: 17 Jul 2016
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If the volume of a Box is 1,463,000 cubic millimetres, what is the vol  [#permalink]

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We know that when you multiply numbers with decimals, you multiply the numbers and then shift the decimal point to the left as many times as there are spaces to the right of the decimals in both numbers.

We are given that 1 millimeter = 0.001 meter

1 cubic meter= (.001)(.001)(.001) cubic millimeters

It follows that 1 cubic millimeter = 1 cubic meter (followed by 9 decimal shifts to the left).

How do we get from cubic millimeters to cubic meters? We shift the decimal 9 spaces to the left.

We can see that 7 shift gets us .1463000 so 9 shifts gets us .001463000 cubic meters
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Joined: 24 Feb 2017
Posts: 33
Concentration: Accounting, Entrepreneurship
Re: If the volume of a Box is 1,463,000 cubic millimetres, what is the vol  [#permalink]

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don't we need to convert twice such as 1463000 cubic millimeters to millimeters and 0.001 meter to cubic meters?
I mean we only convert the later one. Give me a more thorough solution. Bunuel

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If people are NOT laughing at your GOALS, your goals are SMALL. Re: If the volume of a Box is 1,463,000 cubic millimetres, what is the vol   [#permalink] 06 Apr 2019, 21:09
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